Question

a man sells an article at a certain price he gain 10%profit. if he sell at rs 500more price then he gets 15%profit. find cp​

Answer 1

Answer:

The answer is Rs. 10000

Step-by-step explanation:

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Answer 2

Answer:

The cost price of the article is Rs 10,000  .

Step-by-step explanation:

Given as :

The profit percentage earn by man = $P_1$ = 10 %

Let The selling price = $s.p_1$ = s.p

Let The cost price = $c.p_1$ = c.p

According to question

Profit % = $\dfrac{\textrm selling price - \textrm cost price}{\textrm cost price}$

Or, $P_1$ = $\dfrac{s.p_1 - c.p_1}{c.p_1}$

Or, 10% = $\dfrac{s.p - c.p}{c.p}$

Or, 10% + 1 = $\dfrac{s.p}{c.p}$

Or, $\dfrac{s.p}{c.p}$ = 1.1

∴  s.p = 1.1 c.p           ..........A

Again

The profit percentage earn by man = $P_2$ = 15 %

Let The selling price = $s.p_2$ = s.p + 500

Let The cost price = $c.p_2$ = c.p

Profit % = $\dfrac{\textrm selling price - \textrm cost price}{\textrm cost price}$

Or, $P_2$  = $\dfrac{s.p_2 - c.p_2}{c.p_2}$

Or, 15% = $\dfrac{s.p + 500 - c.p}{c.p}$

Or, $\dfrac{s.p + 500}{c.p}$ = 15% + 1

Or,  $\dfrac{s.p + 500}{c.p}$ = 1.15

Or, s.p + 500 = 1.15 c.p           ..........B

Now, from eq A and eq B

∵  s.p = 1.1 c.p

So, 1.1 c.p + 500 = 1.15 c.p

Or, 1.15 c.p - 1.1 c.p = 500

Or, 0.05 c.p = 500

∴  c.p = $\dfrac{500}{0.05}$

i.e c.p = Rs 10,000

So, The cost price of the article = c.p = Rs 10,000

Hence, The cost price of the article is Rs 10,000  . Answer